My Teaching Philosophy:
Math is a skill, not a trait, and like any skill, you can improve with practice. But just like sports, musical instruments, and strategic games, improvement requires pushing yourself beyond your comfort zone. Struggling with a problem simply means there’s a concept that you don’t understand yet, but you will. So the struggle and mistakes that come with learning are normalized in my classes, and even celebrated!
Most of the mistakes I see happen when students attempt to memorize different procedures and formulas, and try to use these procedures in a problem where the procedure doesn’t apply. Rather than focusing on what to memorize, I encourage my students to engage with their uncertainty: you won’t know how to solve a problem at first, but if you think about mathematics analytically rather than procedurally, you can work out creative and beautiful solutions to seemingly complex problems—and you’ll have more fun! I treat mathematics as a puzzle to be explored and played with. My goal is to break down the math anxiety some students feel by transforming mathematics into an engrossing exploratory process, and even a playful challenge to solve.
For a detailed description of my teaching philosophy, please see my teaching statement.
Modules being delivered at Coventry University:
- Mathematics for Computer Science (Summer 2023)
- Symbolic logic; axiomatic proof; set theory; number theory; RSA cryptography; graph theory; Huffman encoding; error correction.
Courses taught with International Mathematics Master:
- Complex Analysis (Fall 2021)
- Complex numbers; holomorphic functions; complex integration; Cauchy’s Theorem and its consequences; singularities and residues; power series and Laurent series; contour integrals.
Courses taught at Penn State:
- MATH 141: Calculus with Analytic Geometry II. (Fall 2020)
- Techniques of integration; volumes of rotation; applications of integration to physics; improper integrals; infinite series and Taylor series; elementary ordinary differential equations.
- MATH 111: Techniques of Calculus II. (Spring 2020)
- Multivariable functions; partial differentiation; multiple integrals; first-order linear and separable differential equations; applications.
- MATH 220: Matrices. (Fall 2019)
- Matrix algebra; linear transformations; subspaces; orthogonality; diagonalizability; characteristic polynomials; applications.
- MATH 231: Calculus of Several Variables. (Spring 2019, Summer 2018*)
- Three-dimensional analytic geometry; calculus of parametric curves; partial differentiation; applications.
- MATH 230: Calculus and Vector Analysis. (Summer 2019*, 2018*; Spring 2018; Fall 2018, 2017)
- Calculus of parametric curves, multivariable functions, and vector fields; multiple integrals; line and surface integrals; Green’s theorem, Stokes’ theorem, and the divergence theorem; applications.
- MATH 251: Ordinary and Partial Differential Equations. (Spring 2017, Fall 2016)
- First- and second-order equations; higher-order linear equations; Laplace transforms; systems of equations; Fourier series; partial differential equations.
- MATH 110: Techniques of Calculus I. (Summer 2016)
- Functions and graphs; techniques of differentiation and integration; improper integrals; applications.
- MATH 021: College Algebra I. (Spring 2016)
- Linear equations and inequalities; quadratic expressions; algebraic fractions; negative and rational exponents; radicals.
*These courses were taught online through Penn State World Campus.
Other educational experience:
- International Center for Theoretical Physics Diploma Program, Dynamical Systems Tutor (Spring 2022)
- Assisted student teams working on problems in flipped-classroom course on discrete dynamical systems.
- Penn State University Department of Mathematics, Math 429 Grader (Spring 2021)
- Graded homework in undergraduate course in point-set topology.
- Penn State University Department of Mathematics, MATH 141 Digital Teaching Assistant (Summer 2017)
- Facilitated online discussion board and recitation sessions for online course in Calculus II.
- Penn State University Department of Mathematics, MATH 022 Digital Teaching Assistant (Fall 2015)
- Led online recitation sessions and graded assignments for online course in College Algebra II.
- Hamilton College Department of Mathematics, MATH 337 Grader (Spring 2015)
- Graded problem sets for upper-level undergraduate course in Partial Differential Equations.
- Hamilton College Quantitative and Symbolic Reasoning Center, Peer Tutor (Fall 2012 – Spring 2015)
- Tutored eight to twelve drop-in students a week in calculus, linear algebra, differential equations, general and organic chemistry, and biology.
In addition to teaching, I also privately tutor. While privately tutoring, I focus on developing a student’s independence in mathematical thinking. Just as when I teach classes, I believe critical thinking should take precedence over knowing facts. If you are interested in private tutoring, you can email me at email@example.com.